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Simplifying 9(j + -2) = 16j + -6 + -1j Reorder the terms: 9(-2 + j) = 16j + -6 + -1j (-2 * 9 + j * 9) = 16j + -6 + -1j (-18 + 9j) = 16j + -6 + -1j Reorder the terms: -18 + 9j = -6 + 16j + -1j Combine like terms: 16j + -1j = 15j -18 + 9j = -6 + 15j Solving -18 + 9j = -6 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. -18 + 9j + -15j = -6 + 15j + -15j Combine like terms: 9j + -15j = -6j -18 + -6j = -6 + 15j + -15j Combine like terms: 15j + -15j = 0 -18 + -6j = -6 + 0 -18 + -6j = -6 Add '18' to each side of the equation. -18 + 18 + -6j = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -6j = -6 + 18 -6j = -6 + 18 Combine like terms: -6 + 18 = 12 -6j = 12 Divide each side by '-6'. j = -2 Simplifying j = -2
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